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[01048] Analysis of a Poisson–Nernst–Planck–Fermi model for ion transport in biological channels and nanopores

  • Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
  • Type : Contributed Talk
  • Abstract : We analyse a Poisson-Nernst-Planck-Fermi model to describe the evolution of a mixture of finite size ions in liquid electrolytes, which move through biological membranes or nanopores. The global-in-time existence of bounded weak solutions and the weak-strong uniqueness result are proved, via entropy and relative entropy, respectively. Furthermore, an implicit Euler finite-volume scheme for the model is analysed and some simulations are shown.
  • Classification : 35-XX, Mathematical and numerical analysis of cross-diffusion system via entropy and relative entropy
  • Format : Online Talk on Zoom
  • Author(s) :
    • Annamaria Massimini (TU Wien)
    • Ansgar Jüngel (TU Wien)